渐开线方程

15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
0.8 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.9 0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26
15.79464814 15.84210415 15.89080418 15.94073321 15.99187583 16.04421621 16.09773813 16.15242496 16.20825971 16.26522496 16.32330292 16.38247542 16.44272389 16.5040294 16.56637263 16.62973391 16.69409316 16.75942997 16.82572355 16.89295277 16.96109612 17.03013175 17.10003747 17.17079073 17.24236864 17.314748 17.38790524 17.46181648 17.53645753 17.61180384 17.68783059 17.76451261 17.84182443 17.91974031 17.99823416 18.07727963 18.15685006 18.23691853 18.3174578 18.39844039 18.47983854 18.5616242 18.64376908 18.72624464 18.80902205 18.89207227 18.97536601
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
1.27 1.28 1.29 1.3 1.31 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 1.4 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.5 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.59 1.6 1.61 1.62 1.63 1.64 1.65 1.66 1.67 1.68 1.69 1.7 1.71 1.72 1.73
2.399860851 2.486901655 2.575866596 2.666767354 2.759615194 2.854420967 2.951195104 3.049947614 3.15068808 3.253425658 3.358169073 3.464926615 3.573706139 3.68451506 3.797360353 3.912248547 4.029185725 4.148177522 4.26922912 4.392345249 4.517530184 4.64478774 4.774121275 4.905533683 5.039027396 5.17460438 5.312266134 5.452013688 5.593847604 5.737767968 5.883774397 6.031866031 6.182041535 6.334299096 6.488636424 6.645050749 6.80353882 6.964096906 7.126720795 7.291405789 7.458146709 7.626937891 7.797773187 7.970645964 8.145549101 8.322474995 8.501415556
22.63888439 22.69463266 22.74897162 22.80186705 22.85328479 22.90319076 22.95155094 22.99833141 23.0434983 23.08701788 23.12885648 23.16898055 23.20735665 23.24395147 23.27873181 23.3116646 23.34271691 23.37185595 23.3990491 23.42426386 23.44746791 23.46862912 23.48771548 23.50469522 23.51953672 23.53220856 23.54267951 23.55091857 23.55689493 23.56057801 23.56193743 23.56094307 23.55756503 23.55177364 23.54353949 23.53283344 23.51962657 23.50389025 23.48559612 23.46471609 23.44122236 23.41508741 23.38628402 23.35478525 23.3205645 23.28359546 23.24385213
19.05887373 19.14256566 19.22641181 19.31038197 19.3944457 19.47857235 19.56273108 19.64689084 19.73102036 19.81508823 19.8990628 19.98291229 20.06660471 20.15010791 20.23338959 20.31641729 20.39915837 20.4815801 20.56364955 20.64533369 20.72659936 20.80741327 20.887742 20.96755206 21.0468098 21.12548152 21.2035334 21.28093153 21.35764193 21.43363055 21.50886326 21.58330587 21.65692412 21.72968373 21.80155034 21.87248958 21.94246703 22.01144825 22.07939879 22.14628415 22.21206986 22.27672145 22.34020442 22.4024843 22.46352666 22.52329705 22.58176108
x 15 15.00074998 15.0029997 15.00674848 15.0119952 15.01873828 15.0269757 15.03670499 15.04792323 15.06062704 15.0748126 15.09047567 15.10761151 15.12621498 15.14628048 15.16780197 15.19077295 15.21518649 15.24103524 15.26831138 15.29700666 15.32711241 15.3586195 15.39151838 15.42579908 15.46145117 15.49846382 15.53682576 15.5765253 15.61755031 15.65988827 15.70352621 15.74845076
0.177735825 0.194257588 0.211760369 0.230270651 0.249814711 0.270418618 0.292108227 0.314909171 0.338846859 0.363946472 0.390232951 0.417730999 0.446465071 0.476459372 0.507737849 0.540324189 0.574241812 0.609513865 0.64616322 0.684212466 0.723683907 0.764599556 0.806981127 0.850850036 0.896227393 0.943133998 0.991590334 1.041616567 1.093232538 1.146457761 1.201311416 1.257812345 1.31597905 1.375829688 1.437382063 1.500653629 1.565661478 1.632422342 1.700952586 1.771268205 1.843384819 1.917317673 1.993081626 2.070691154 2.150160345 2.231502893 2.314732096
涡旋线是一种渐开线/阿基米德螺线，在实际应用中一般选圆的渐开线，因为它比较容易加工，有的机床 品中还需对该渐开线修正。下面介绍下在CAD中如何划精确曲线（方程曲线）（以圆的渐开线为例）： 源 x=a*(cos(β )+β sin(β )) y=a*(sin(β )-β cos(β )) 其中:a--渐开线基圆半径，已知项 β --渐开 输入a、β 、x、y、(x,y)，给a赋值 3，定β 项的初值（0）、步长（t=0.02）(看你需要的曲线精度了， 入为初值。按EXCEL函数在x、y栏中输入方程公式,在(x,y)栏中按此输入 =C3&","&D3 解释：C3为x栏， 行至第二行，在β 栏改为输入EXCEL函数 =B3+0.02 解释：上行该栏加步长。拷贝该行至第三——N行。 中，先顶原点位置，点“多段线”或“样条曲线”，在下面输入栏中“指定第一点或[对象]：”单击， 望抛砖引玉！ β --渐开线发生角，初值 （0）、步长（t=0.02）(看 你需要的曲线精度了，步长 a--渐开线基圆半径 越小越精确） 0 15 0.01 15 0.02 15 0.03 15 0.04 15 0.05 15 0.06 15 0.07 15 0.08 15 0.09 15 0.1 15 0.11 15 0.12 15 0.13 15 0.14 15 0.15 15 0.16 15 0.17 15 0.18 15 0.19 15 0.2 15 0.21 15 0.22 15 0.23 15 0.24 15 0.25 15 0.26 15 0.27 15 0.28 15 0.29 15 0.3 15 0.31 15 0.32
y 0 4.99995E-06 3.99984E-05 0.000134988 0.000319949 0.000624844 0.001079611 0.00171416 0.002558362 0.003642048 0.004995002 0.006646951 0.008627565 0.010966447 0.013693128 0.016837062 0.020427619 0.02449408 0.029065631 0.034171355 0.039840228 0.046101116 0.052982763 0.06051379 0.068722687 0.077637807 0.087287364 0.09769942 0.108901888 0.120922518 0.133788899 0.147528447 0.162168402
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0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.4 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.5 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.7 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79